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12124011420 = 22335147115263
BaseRepresentation
bin10110100101010010…
…11011101110011100
31011021221110121001000
423102221123232130
5144312221331140
65323015350300
7606305253033
oct132251335634
934257417030
1012124011420
115161763254
122424382390
1311b2a64571
1483029d71a
154ae5b9a30
hex2d2a5bb9c

12124011420 has 96 divisors (see below), whose sum is σ = 37747261440. Its totient is φ = 3230660160.

The previous prime is 12124011409. The next prime is 12124011437. The reversal of 12124011420 is 2411042121.

12124011420 is a `hidden beast` number, since 1 + 2 + 1 + 240 + 1 + 1 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12124011393 and 12124011402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786709 + ... + 801971.

It is an arithmetic number, because the mean of its divisors is an integer number (393200640).

Almost surely, 212124011420 is an apocalyptic number.

12124011420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12124011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873630720).

12124011420 is an abundant number, since it is smaller than the sum of its proper divisors (25623250020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12124011420 is a wasteful number, since it uses less digits than its factorization.

12124011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16752 (or 16744 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12124011420 its reverse (2411042121), we get a palindrome (14535053541).

The spelling of 12124011420 in words is "twelve billion, one hundred twenty-four million, eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1471 2942 4413 5884 7355 8826 13239 14710 15263 17652 22065 26478 29420 30526 39717 44130 45789 52956 61052 66195 76315 79434 88260 91578 132390 137367 152630 158868 183156 198585 228945 264780 274734 305260 397170 412101 457890 549468 686835 794340 824202 915780 1373670 1648404 2060505 2747340 4121010 8242020 22451873 44903746 67355619 89807492 112259365 134711238 202066857 224518730 269422476 336778095 404133714 449037460 606200571 673556190 808267428 1010334285 1212401142 1347112380 2020668570 2424802284 3031002855 4041337140 6062005710 12124011420